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Finding the Fourth Proportional to 114,430, 171,670.96 and 40,558

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Solution

The fourth proportional to 114,430, 171,670.96 and 40,558 is: 60,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,430 : 171,670.96 = 40,558 : x
  2. Step 2: Convert to fraction form
    114,430/171,670.96 = 40,558/x
  3. Step 3: Cross multiply
    114,430x = 171,670.96 × 40,558
  4. Step 4: Simplify right side
    114,430x = 6,962,630,795.68
  5. Step 5: Solve for x
    x = 6,962,630,795.68/114,430
  6. Step 6: Final answer
    x = 60,846.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.